Taking the flywheel of a type of ship gyro-stabilizer as the research object,establish finite element model with ANSYS Workbench to launch the modal analysis of the flywheel,and calculate the critical speed of the flywheel and the Campbell diagram is drawn.Then combined with the unbalance of the flywheel itself,the steady-state unbalance response curve of the flywheel is obtained by harmonic response analysis method.The results show that the first critical speed of the flywheel is 8 732.5 r/min,and the working speed is lower than 70%of the first critical speed,so there is no resonance.Under the action of the unbalance,the flywheel will have obvious resonance at 202 Hz and 218 Hz.This frequency is far higher than the working speed of the flywheel,so the flywheel will not be subject to the resonance caused by the flywheel unbalance during normal operation.The rationality of the flywheel design of this type of anti rolling gyro device is proved,and the simulation reference for the subsequent design of the same type of flywheel is provided.